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Finding the Third Proportional to 11,442.75 and 16,792.88

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Solution

The third proportional to 11,442.75 and 16,792.88 is: 24,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.75 : 16,792.88 = 16,792.88 : x
  2. Step 2: Convert to fraction form
    11,442.75/16,792.88 = 16,792.88/x
  3. Step 3: Cross multiply
    11,442.75x = 16,792.88 × 16,792.88
  4. Step 4: Simplify right side
    11,442.75x = 282,000,650.77
  5. Step 5: Solve for x
    x = 282,000,650.77/11,442.75
  6. Step 6: Final answer
    x = 24,644.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.